3460221765 has 288 divisors, whose sum is σ = 8550696960. Its totient is φ = 1253491200.

The previous prime is 3460221757. The next prime is 3460221781. The reversal of 3460221765 is 5671220643.

3460221765 is a `hidden beast` number, since 3 + 460 + 22 + 176 + 5 = 666.

It is not a de Polignac number, because 3460221765 - 2³ = 3460221757 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11125960 + ... + 11126270.

It is an arithmetic number, because the mean of its divisors is an integer number (29689920).

Almost surely, 2^3460221765 is an apocalyptic number.

3460221765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3460221765 is an abundant number, since it is smaller than the sum of its proper divisors (5090475195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3460221765 is a wasteful number, since it uses less digits than its factorization.

3460221765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3460221765 is about 58823.6497082593. The cubic root of 3460221765 is about 1512.5206448472.

The spelling of 3460221765 in words is "three billion, four hundred sixty million, two hundred twenty-one thousand, seven hundred sixty-five".